Example 6.23.  Show that  ,  where C is the circle    with positive orientation.

Explore Solution 6.23.

Enter the integrand    and locate the singularities.

Find the singularity that lie inside C.

Thus,    the only singularity that lies inside  .  

The integrand f(z) is to be used is

Use Cauchy's Integral Formula to evaluate the integral of   taken over C.

Thus, we have found the value of the contour integral.

(c) 2006 John H. Mathews, Russell W. Howell